25 citations · 54 across the 4 of their papers we have counts for
3 papers · 1 filter
Local Central Limit Theorem for unbounded long-range potentials
Eric O. Endo, Roberto Fernández, Vlad Margarint +1
We prove the equivalence between the integral central limit theorem and the local central limit theorem for two-body potentials with long-range interactions on the lattice $\mathbb…
Variational description of Gibbs-non-Gibbs dynamical transitions for spin-flip systems with a Kac-type interaction
Roberto Fernández, Frank den Hollander, Julián Martínez
We continue our study of Gibbs-non-Gibbs dynamical transitions. In the present paper we consider a system of Ising spins on a large discrete torus with a Kac-type interaction subje…
Abrupt Convergence and Escape Behavior for Birth and Death Chains
Javiera Barrera, Olivier Bertoncini, Roberto Fernández
We link two phenomena concerning the asymptotical behavior of stochastic processes: (i) abrupt convergence or cut-off phenomenon, and (ii) the escape behavior usually associated to…